Simultaneous Solution for Vortex and Sound of Cavity Oscillation Based on a Meshless Model
Publication: Journal of Aerospace Engineering
Volume 34, Issue 4
Abstract
A two-dimensional (2D) meshless model based on the vortex method is developed to predict the aerodynamic noise of a noncompact open cavity, which calculates the flow and sound field results simultaneously. The evolution of the shear layer over the cavity mouth is described through discrete vortices, and key parameters including strength, position, and velocity of the vortices are obtained. Meanwhile, the vortices are employed as the sound source to simulate the sound generation by using vortex sound theory, together with the time-domain boundary element method (TDBEM) to account for the sound scattering effect of the rigid wall. The predicted results coincide reasonably well with the previous experimental data, and the computational cost is remarkably reduced compared with pure numerical methods. Moreover, the influence of the vortex convection velocity in the streamwise direction on the oscillation frequency and the mode jump characteristics are discussed in detail, which helps to improve the basic understanding of cavity noise.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This study was co-supported by the National Natural Science Foundation of China (No. 51806146) and the National Science and Technology Major Project (No. 2017-II-003-0015) the Fundamental Research Funds for the Central Universities (No. 3122019171).
References
Alvarez, J., E. Kerschen, and A. Tumin. 2004. “A theoretical model for cavity acoustic resonances in subsonic flow.” In Proc., 10th AIAA/CEAS Aeroacoustics Conf. Reston, VA: American Institute of Aeronautics and Astronautics.
Ashworth, R. M. 2005. “Prediction of acoustic resonance phenomena for weapon bays using detached eddy simulation.” Aeronaut. J. 109 (1102): 631–638. https://doi.org/10.1017/S0001924000000968.
Bilanin, A., and E. Covert. 1973. “Estimation of possible excitation frequencies for shallow rectangular cavities.” AIAA J. 11 (3): 347–351. https://doi.org/10.2514/3.6747.
Block, P. J. W. 1997. Measurements of the tonal component of cavity noise and comparison with theory. Hampton, VA: Langley Research Center.
Carrer, J. A. M., W. L. A. Pereira, and W. J. Mansur. 2012. “Two-dimensional elastodynamics by the time-domain boundary element method: Lagrange interpolation strategy in time integration.” Eng. Anal. Boundary Elem. 36 (7): 1164–1172. https://doi.org/10.1016/j.enganabound.2012.01.004.
Chung, K. M., Y. X. Huang, K. H. Lee, and K. C. Chang. 2020. “Reynolds number effect on compressible cylindrical cavity flow.” Chin. J. Aeronaut. 33 (2): 456–464. https://doi.org/10.1016/j.cja.2019.09.005.
Dai, X. 2016. “Vortex convection in the flow-excited Helmholtz resonator.” J. Sound Vib. 370 (May): 82–93. https://doi.org/10.1016/j.jsv.2016.01.053.
Dai, X., X. Jing, and X. Sun. 2010. “Plate thickness effect on orifice impedance with nonlinear acoustic/grazing flow interaction.” In Proc., 16th AIAA/CEAS Aeroacoustics Conf. Reston, VA: American Institute of Aeronautics and Astronautics.
De Vicente, J., J. Basley, F. Meseguer-Garrido, J. Soria, and V. Theofilis. 2014. “Three-dimensional instabilities over a rectangular open cavity: From linear stability analysis to experimentation.” J. Fluid Mech. 748 (Jun): 189–220. https://doi.org/10.1017/jfm.2014.126.
Elder, S. A. 1980. “Forced oscillations of a separated shear layer with application to cavity flow-tone effects.” J. Acoust. Soc. Am. 67 (3): 774–781. https://doi.org/10.1121/1.383951.
Hardin, J. C., and J. P. Mason. 1977. “Broadband noise generation by a vortex model of cavity flow.” AIAA J. 15 (5): 632–637. https://doi.org/10.2514/3.60671.
Heller, H., D. Holmes, and E. Covert. 1971. “Flow-induced pressure oscillations in shallow cavities.” J. Sound Vib. 18 (4): 545–553. https://doi.org/10.1016/0022-460X(71)90105-2.
Hong, Z., X. Dai, N. Zhou, X. Sun, and X. Jing. 2014. “Suppression of Helmholtz resonance using inside acoustic liner.” J. Sound Vib. 333 (16): 3585–3597. https://doi.org/10.1016/j.jsv.2014.02.028.
Hong, Z., X. Wang, X. Sun, and X. Jing. 2020a. “Frequency lock-in mechanism in flow-induced acoustic resonance of a cylinder in a flow duct.” J. Fluid Mech. 884 (Feb): A42. https://doi.org/10.1017/jfm.2019.966.
Hong, Z., X. Wang, X. Sun, and X. Jing. 2020b. “Vortex sound interaction in acoustic resonance of a flow duct containing a plate.” J. Sound Vib. 483 (Sep): 115482. https://doi.org/10.1016/j.jsv.2020.115482.
Howe, M. S. 1997. “Edge, cavity and aperture tones at very low Mach numbers.” J. Fluid Mech. 330 (Jan): 61–84. https://doi.org/10.1017/S0022112096003606.
Kim, H., Z. Hu, and D. Thompson. 2020. “Effect of cavity flow control on high-speed train pantograph and roof aerodynamic noise.” Railway Eng. Sci. 28 (1): 54–74. https://doi.org/10.1007/s40534-020-00205-y.
Kiya, M., K. Sasaki, and M. Arie. 1982. “Discrete-vortex simulation of a turbulent separation bubble.” J. Fluid Mech. 120 (Jul): 219–244. https://doi.org/10.1017/S0022112082002742.
Larchevêque, L., P. Sagaut, I. Mary, O. Labbé, and P. Comte. 2003. “Large-eddy simulation of a compressible flow past a deep cavity.” Phys. Fluids 15 (1): 193–210. https://doi.org/10.1063/1.1522379.
Lidtke, A. K., S. R. Turnock, and V. F. Humphrey. 2016. “Characterisation of sheet cavity noise of a hydrofoil using the Ffowcs Williams–Hawkings acoustic analogy.” Comput. Fluids 130 (May): 8–23. https://doi.org/10.1016/j.compfluid.2016.02.014.
Luo, K., W. Zhu, Z. Xiao, Z. Weng, L. Deng, D. Yang, and J. Liu. 2018. “Investigation of spectral characteristics by passive control methods past a supersonic cavity.” AIAA J. 56 (7): 2669–2686. https://doi.org/10.2514/1.J056689.
Madi Arous, F., A. Mataoui, and Z. Bouahmed. 2011. “Influence of upstream flow characteristics on the reattachment phenomenon in shallow cavities.” Therm. Sci. 15 (3): 721–734. https://doi.org/10.2298/tsci101203019m.
Nagarajan, K. K., S. Singha, L. Cordier, and C. Airiau. 2018. “Open-loop control of cavity noise using proper orthogonal decomposition reduced-order model.” Comput. Fluids 160 (7): 1–13. https://doi.org/10.1016/j.compfluid.2017.10.019.
Powell, A. 1964. “Theory of vortex sound.” J. Acoust. Soc. Am. 36 (1): 177–195. https://doi.org/10.1121/1.1918931.
Ricciardi, T. R., W. R. Wolf, and R. Speth. 2018. “Acoustic prediction of lagoon landing gear: Cavity noise and coherent structures.” AIAA J. 56 (11): 4379–4399. https://doi.org/10.2514/1.J056957.
Rossiter, J. 1964. Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. Farnborough, UK: Royal Aircraft Establishment (RAE) Farnborough.
Smith, D., and L. Shaw. 1975. Prediction of the pressure oscillations in cavity exposed to aerodynamic flow. Wright-Patterson Air Force Base, OH: Air Force Flight Dynamics Laboratory.
Sun, Y., K. Taira, and L. Cattafesta. 2017. “Spanwise effects on instabilities of compressible flow over a long rectangular cavity.” Theor. Comput. Fluid Dyn. 31 (5): 555–565. https://doi.org/10.1007/s00162-016-0412-y.
Tam, C., and P. Block. 1978. “On the tones and pressure oscillations induced by flow over rectangular cavities.” J. Fluid Mech. 89 (2): 373–399. https://doi.org/10.1017/S0022112078002657.
Vinha, N., F. Meseguer-Garrido, J. de Vicente, and E. Valero. 2018. “Numerical investigation of the saturation process in an incompressible cavity flow.” J. Fluid Mech. 837 (Feb): 182–209. https://doi.org/10.1017/jfm.2017.854.
Wang, Y., L. Tan, B. Wang, S. Cao, and B. Zhu. 2015. “Numerical investigation on frequency jump of an impinging shear layer using large eddy simulation.” J. Fluid Eng. 137 (8): 081203. https://doi.org/10.1115/1.4030002.
Yang, D., J. Li, J. Liu, Y. Zhang, and Y. Li. 2013. “Analysis on physical mechanism of sound generation inside cavities based on acoustic analogy method.” Open J. Fluid Dyn. 3 (1): 23–31. https://doi.org/10.4236/ojfd.2013.31003.
Zhang, C., Z. Wan, and D. Sun. 2017. “Model reduction for supersonic cavity flow using proper orthogonal decomposition (POD) and Galerkin projection.” Appl. Math. Mech. 38 (5): 723–736. https://doi.org/10.1007/s10483-017-2195-9.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 34 • Issue 4 • July 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Nov 4, 2020
Accepted: Feb 1, 2021
Published online: Apr 8, 2021
Published in print: Jul 1, 2021
Discussion open until: Sep 8, 2021
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.